Solve Ratio Problems with Proportions Quick Check

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Question
Which fraction is a unit rate you can use to solve a ratio problem?(1 point)
Responses

127
Start Fraction 1 over 27 End Fraction

34
Start Fraction 3 over 4 End Fraction

75
Start Fraction 7 over 5 End Fraction

271

Start Fraction 1 over 27 End Fraction

To find the unit rate, we need to determine the fraction that represents one item out of the total. In this case, we have 5 items, so the unit rate should be the fraction that represents 1 item out of 5.

The correct fraction that represents a unit rate in this case is:
Start Fraction 1 over 5 End Fraction.

To solve a ratio problem, you can use a unit rate, which is a ratio that compares a quantity to one unit of another quantity. In this case, we need to determine which fraction represents a unit rate.

Looking at the given options:
1. 127: This is not a fraction and therefore cannot be a unit rate.
2. 1/27: This fraction could potentially be a unit rate since it compares a quantity (1) to one unit of another quantity (27).
3. 3/4: This fraction is not a unit rate since it compares a quantity (3) to four units of another quantity.
4. 7/5: This fraction is also not a unit rate since it compares a quantity (7) to five units of another quantity.
5. 271: Similar to option 1, this is not a fraction and cannot be a unit rate.

Therefore, the correct option is Start Fraction 1 over 27 End Fraction, which represents a unit rate that can be used to solve a ratio problem.

Jamal is creating toys to sell. He is averaging 8 toys every 5 days. If he continues at this rate, how many days will it take to fill an order of 75? Round to the nearest whole number of days. (1 point)

Responses

47 days
47 days

120 days
120 days

375 days
375 days

10 days